2010 | OriginalPaper | Buchkapitel
A Discrete-Time Geo/G/1 Retrial Queue with Starting Failures and Impatient Customers
verfasst von : Abdel-Karim Aboul-Hassan, Sherif I. Rabia, Ahmed A. Al-Mujahid
Erschienen in: Transactions on Computational Science VII
Verlag: Springer Berlin Heidelberg
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This paper discusses a discrete-time
Geo
/
G
/1 retrial queue with impatient customers and server subject to starting failures. Retrial times are assumed to follow a geometric distribution. For the balking customers case, the generating functions of the orbit size and the system size distributions are obtained. Hence, performance measures of interest are derived and examined numerically. Recursive formulas are built up to facilitate computing important distributions. For the general case, a simulation study is built up to investigate the effect of impatience on the system performance.